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Answer:

The right answer is a.

Step-by-step explanation:

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Answer:

D) 7

Step-by-step explanation:

Vertical pair meaning that the two angles are congruent meaning that they are equal to each other. So 15x-5=13x+9. Subtract 13x to get 2x-5+9. Then ad five to each side to get 2x=14 and divide each side by 2 to get x equals 7. Hope I helped and post more questions :)

Answer:

Top left graph

General Formulas and Concepts:

Statistics

Step-by-step explanation:

The best linear model for the data would be the best line of fit for the data. We can eliminate the rightmost graphs as they have no correlation with the data.

Between the leftmost graphs, we can see that the top left graph would be choice as it encompasses most of the data/is more of the data's average than the bottom one.

Answer:

1230 cm

Step-by-step explanation:

convert metres to centimetres.

the answer must be less than upper bound.

[tex]1225 \leqslant 1230 < 1235[/tex]

Answer:

The solution of the system is  (5, -7)

Step-by-step explanation:

Here we have the system:

y = (-1/5)*x - 6

y = -2*x + 3

We know that this system is graphed below, and the question is incomplete, but I assume that we want to find the solution to this system. If you can see the graph, the solution is just the point where both graphs intersect, but we can find the solution analytically.

We know that:

y = (-1/5)*x - 6

y = -2*x + 3

Then, we can write:

y =  (-1/5)*x - 6 = y =  -2*x + 3

This leads to:

(-1/5)*x - 6  = -2*x + 3

Now we can solve this for x.

(-1/5)*x + 2*x = 3 + 6

(-1/5)*x + (10/5)*x = 9

(9/5)*x = 9

x = (5/9)*9 = 5

x = 5

now that we know the value of x, we can input this in one of the two equations above to find the correspondent value of y, we will get:

y = -2*x + 3 = -2*5 + 3

y = -10 + 3 = -7

y = -7

Then the solution is:

x = 5 and y = -7, or (5, -7)

Answer:

Step-by-step explanation:

If a point (x, y) is rotated 90° counterclockwise about the origin, rule for the rotation will be,

(x, y) → (-y, x)

Therefore, coordinates of the image point after the rotation will be (-y, x).

Following this rule,

Image points of the quadrilateral will be,

A(3, 3) → A'(-3, 3)

R(5, 7) → R'(-7, 5)

M(7, 5) → M'(-5, 7)

Y(5, 1) → Y'(-1, 5)

By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.

Answer:

I got my answer on Khan Academy:

Answer:

1) x  =  [ - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000 ] /e∧ - (15/1000)*t

2) x =  - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18

Step-by-step explanation:

1.-Quantity of salt in the tank after t minutes

The rate  of change of the quantity of salt in the tank is:

dx(t) /dt   =  original quantity (0) + input quantity - output quantity  (1)

quantity = concentration* rate   Then

input quantity   =  0.04 Kg/lt * 5 Lt/min + 0.06 Kg/lt * 10Lt/min  =  0.2 Kg/min

+ 0.6  Kg/min  =  0,8 Kg/lt

output quantity =  Output concentration * rate of draining

rate of draining = 15 Lt/min

The input quantity and the output quantity occur at the same rate therefore the volume in the tank is constant  1000Lt.

output quantity = (x/1000 )*15

Plugging these values in equation (1) we get.

dx/dt  =  0,8  -  ( x/1000)* 15

The last one is a differential first-order equation like

x´ +  P(t)*x = q(t)

and the solution is:

x*μ   =  ∫ q(t)*μ*dt  + C

where    μ  is the integration factor   e ∧ ∫p(t)*dt

let´s call  b = -15/1000

μ = e ∧ ∫p(t)*dt  =  e∧∫ b*dt  =  e∧ b*t = e∧ ( -15/1000)*t

μ  =  e∧ - (15/1000)*t

Then  x*μ    =   x *  e∧ - (15/1000)*t

∫ q(t)*μ*dt  = ∫  0.8 * e∧ - (15/1000)*t*dt  =  0.8 * ∫ e∧bt * dt  

 ∫ q(t)*μ*dt  = 0.8 * ( 1/b ) e∧bt  = - 0,8 *( 15/1000) * e∧ ( - 15/1000)*t

∫ q(t)*μ*dt  = - (12/1000)*  e∧ ( - 15/1000)*t

x *  e∧ - (15/1000)*t  =   - (12/1000)*  e∧ ( - 15/1000)*t + C

Initial condition  t = 0  x = 0

0  =  - (12 / 1000 )* e⁰ = C

C = 12/1000

x *  e∧ - (15/1000)*t  =   - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000

x  =  [ - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000 ] /e∧ - (15/1000)*t

When t = 60 min

x =   [ - (12/1000)*  e∧ ( - 15/1000)*12 + 12/1000 ] / e∧ - (15/1000) * 12

x =  - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18

Answer:

The data item is [tex]X = 580[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that [tex]\mu = 400, \sigma = 60[/tex]

z=3

We have to find X when Z = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]3 = \frac{X - 400}{60}[/tex]

[tex]X - 400 = 3*60[/tex]

[tex]X = 580[/tex]

The data item is [tex]X = 580[/tex]

Answer:

Step-by-step explanation:

Answer: ∠PKO and ∠MKN

Explanation: Angles that are opposite each other when two lines intersect each other are vertical angles.

The correct answer is ∠PKO and ∠MKN. These angles are vertical angles because they are opposite each other when lines PK and KM intersect.

The angles that are vertical are angles that are opposite each other when two lines intersect. In the given options, ∠PKO and ∠MKN are vertical angles because they are opposite each other when lines PK and KM intersect.

To understand why these angles are vertical, let's look at the lines PK and KM intersecting at point K. When two lines intersect, they form four angles around the point of intersection.

In this case, we have ∠PKO, ∠MKN, ∠OKN, and ∠PKL. Now, let's focus on ∠PKO and ∠MKN. These angles are opposite each other when lines PK and KM intersect at point K.

In other words, if you extend lines PK and KM, ∠PKO and ∠MKN are on opposite sides of the intersection point K. On the other hand, ∠LKM and ∠PKL are not vertical angles because they are not opposite each other when lines PK and KM intersect.

Similarly, ∠MKN and ∠OKN are not vertical angles because they are not opposite each other when lines PK and KM intersect. Therefore, the correct answer is ∠PKO and ∠MKN. These angles are vertical angles because they are opposite each other when lines PK and KM intersect.

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Answer:

In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function.

Answer:

-2,-3

Step-by-step explanation:

Step-by-step explanation:

Formula:- 4/3*Pi*r^3

= 4/3*22/7*(1/2)^3

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Answer:

Slope: -5/4

Step-by-step explanation:

Use slope (m) formula:

m = y2 - y1 / x2 - x1

m = 5 - 10 / 49 - 45

m = -5/4

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

Hi there!

Equation for the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

To find the slope of the line, plug in any two points given in the table. For example, we can use the points (49,5) and (53,0):

[tex]=\frac{5-0}{49-53}\\=\frac{5}{-4}[/tex]

Therefore, the slope of the line is [tex]-\frac{5}{4}[/tex].

I hope this helps!

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b (m = slope; b = y-intercept)

I used 2 points (-2 , 2) and (1 , 5) to calculate the slope of the line

m= (y₂ - y₁)/(x₂ - x₁)

(5-2)/(1--2) = 3/3= 1

y = 1x + b

using point (1, 5)

5 = 1(1) + b

5 = 1 + b

b = 5-1

b=4

y= 1x + 4 or simply y= x + 4

Answer:

A y = x + 4

yeh i did the test

Step-by-step explanation:

Answer:

270 coins

n + p

Step-by-step explanation:

Given that :

Number of nickels = 140

Number of pennies = 130

The total numbers coins had:

Number of Nickel + number of pennies

140 + 130 = 270 coins

If Number of nickels = n ; number of pennies = p

The total number of coins :

Number of Nickel + number of pennies

n + p

Answer:

second option

Step-by-step explanation:

[tex]shaded~area\\(x-1)^2+y^2<25\\and\\(x+4)^2+y^2<16[/tex]

Answer:

A

Step-by-step explanation:

edge

not sure if this is the right question so i dont know if we're thinking about the same question...

==========================================================

Explanation:

x is some positive real number, and the units of each are in inches.

Add up the smaller pieces and we should get 64 inches back again

x+2x+5x = 64

8x = 64

x = 64/8

x = 8

The first piece is 8 inches long.

2x = 2*8 = 16 is the length of the second piece (in inches)

The third piece is 40 inches because 5x = 5*8 = 40

--------

Summary:

first = 8 inches

second = 16 inches

third = 40 inches

Check: 8+16+40 = 64, which confirms the answer

Answer:yes

Step-by-step explanation:66

The given statement  A U (B - C) = (A U B) - C is true.

A set is collection of well defined objects.

According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.

Lets consider we have three sets A, B and C and we also consider they intersect each other.

( B - C ) represents the elements which belongs to B but not in C.

∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.

AND

( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.

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Answer:

12 times.

Step-by-step explanation:

That would be 40 * 0.3 = 12.

Answer:

The quadrilateral is Rhombus

B=70°

Step-by-step explanation:

110+110+z+z=360

220+2z=360

2z=360-220

2z=140

z=140/2

Therefore, z=70

So Angle B=70

Since z= Angle B=Angle D

y - 6 = 0 ................ equation 1

x - 4 = 0 ................ equation 2

Answer:

C) 8

Step-by-step explanation:

Consecutive angles are equal to 180. So 22x+4+180. Solve that to get x=8. Hope I helped and post more questions :)

Answer:

[tex]{ \tt{let \: that \: unknown\: side \: be \: x}} \\ { \boxed{ \tt{perimeter = (8 \times side)}}} \\ 41.6 = (3.2 \times 2) + (5.9 \times 5) + x \\ x = 5.7 \:in \\ { \bf{answer : 5.7 \: inches}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Answer:

Step-by-step explanation:

A + B = 750

A = 1.5 B

~~~~~~~~~~~~~~

750-B = 1.5 B

750 = 1.5 B + B

750 = B(1.5 +1)

750 = B (2.5)

B = 300

A = 450

Answer:

The radius is approximately 14 cm

Step-by-step explanation:

The circumference

C = 2 * pi *r

88 = 2 * pi *r

Divide by 2

44 = 3.14 *r

Divide by 3.14

44/3.14 = r

14.01273885=r

Answer:yo we talking the same test

Step-by-step explanation:

Insta= santiagorez

Answer:

Radius , r = 5 units

Step-by-step explanation:

The standard form of a circle's equation:

  [tex](x-a)^2 + (y -b)^2 = r^2 \ , \ where \ (a , b) \ is \ the \ centre\ and\ r \ is \ the \ radius.[/tex]

Given equation :

  [tex]x^2 - 2x + y^ 2- 4y = 20\\\\[/tex]

Find radius .

Convert the given equation into standard form.

[tex](x - 1)^2 = x^ 2 - 2x + 1 \\\\(y - 2) ^2 = y^ 2 - 4y + 4\\\\[/tex]

Now add both equations :

  [tex](x - 1)^2 + (y - 2)^2 = r^2[/tex]

[tex](x ^ 2 - 2x + 1) + (y^2 - 4y + 4 ) = r^2\\\\(x^2 -2x + y^2 - 4y ) + 1 + 4 = r^2\\\\20 + 1 + 4 = r^2[/tex]          [tex][ \ given : \ x^2 - 2x + y^ 2 - 4y = 20 \ ][/tex]

[tex]25 = r^2 \\\\5 = r[/tex]

Answer:

Step-by-step explanation:

1.)1,2,3,4,5

mean=sum of all values/number of values

         =1+2+3+4+5/5

         =15/5

mean=3

Mode :

In the given data, no observation occurs more than once.

Hence the mode of the observations does not exist, means mode=0.

Median

1,2,3,4,5

Middle value is 3 so the median is 3.

2.)2,3,4,5,6,6

mean=sum of all values/number of values

         =2+3+4+5+6+6/6

         =26/6

mean =4.33

Mode

      is that value of the observation which occurs maximum number of times so here mode is 6.

Median

2,3,4,5,6,6

 4+5/2

9/2

median=4.5

3.)6,7,5,4,5,6,2,5

mean=sum of all values/number of values

         =6+7+5+4+5+6+2+5/8

        =40/8

mean =5

Mode

is that value of the observation which occurs maximum number of times so here mode is 5

Median

2,4,5,5,5,6,6,7

5+5/2

10/2

median=5

Answer:

Always a parabola or U Shaped

U shaped or by rotating U it will be like intersect symbol.. You can see it in attached file

Answer:

1) divide 123/7 and get the answer

2) multiply 7 by 4.50 and get the answer

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Lim x - - > 1(1 /In(2-x) + 1/(x-1))

To find the limit as x tends to 1

Substitute x = 1 into the function ;

(1 / In(2 - 1) + 1 / (1 - 1))

(1 / In 1) + (1 / 0)

1 / 0 + 1 / 0

Undefined